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Finding the Fourth Proportional to 432, 596.16 and 301.32

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Solution

The fourth proportional to 432, 596.16 and 301.32 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 596.16 = 301.32 : x
  2. Step 2: Convert to fraction form
    432/596.16 = 301.32/x
  3. Step 3: Cross multiply
    432x = 596.16 × 301.32
  4. Step 4: Simplify right side
    432x = 179,634.93
  5. Step 5: Solve for x
    x = 179,634.93/432
  6. Step 6: Final answer
    x = 415.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.